eigenelement

Noun

 * 1)   A nonzero element $$m$$ of a semimodule $$M$$, such that there exists an endomorphism $$A$$ on $$M$$ and a real number $$r$$ (a corresponding eigenvalue) for which the image of $$m$$ under $$\mathrm{A}$$ is equal to the product of $$r$$ times $$m$$; i.e. $$m {A} = rm$$.

Usage notes
An eigenelement is a generalization of an eigenvector to a semimodule.